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feat(CategoryTheory/Monoidal/DayConvolution): left and right unitors for Day convolution #24993

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feat(CategoryTheory/Monoidal/DayConvolution): left and right unitors for Day convolution #24993

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69d1499
definitions for day convolution
robin-carlier May 18, 2025
d640241
Associators
robin-carlier May 18, 2025
fa614a6
unitors
robin-carlier May 18, 2025
2d76940
docstring
robin-carlier May 18, 2025
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Merge branch 'robin-carlier/day_convolution_def' into robin-carlier/d…
robin-carlier May 18, 2025
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Merge branch 'robin-carlier/day_convolution_associators' into robin-c…
robin-carlier May 18, 2025
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stray file
robin-carlier May 18, 2025
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Merge branch 'robin-carlier/day_convolution_associators' into robin-c…
robin-carlier May 18, 2025
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3 changes: 3 additions & 0 deletions Mathlib.lean
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Expand Up @@ -2336,8 +2336,11 @@ import Mathlib.CategoryTheory.Monoidal.CommGrp_
import Mathlib.CategoryTheory.Monoidal.CommMon_
import Mathlib.CategoryTheory.Monoidal.Comon_
import Mathlib.CategoryTheory.Monoidal.Conv
import Mathlib.CategoryTheory.Monoidal.DayConvolution
import Mathlib.CategoryTheory.Monoidal.Discrete
import Mathlib.CategoryTheory.Monoidal.End
import Mathlib.CategoryTheory.Monoidal.ExternalProduct.Basic
import Mathlib.CategoryTheory.Monoidal.ExternalProduct.KanExtension
import Mathlib.CategoryTheory.Monoidal.Free.Basic
import Mathlib.CategoryTheory.Monoidal.Free.Coherence
import Mathlib.CategoryTheory.Monoidal.Functor
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1 change: 1 addition & 0 deletions Mathlib/CategoryTheory/Functor/KanExtension/Basic.lean
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Expand Up @@ -189,6 +189,7 @@ lemma hom_ext_of_isLeftKanExtension {G : D ⥤ H} (γ₁ γ₂ : F' ⟶ G)

/-- If `(F', α)` is a left Kan extension of `F` along `L`, then this
is the induced bijection `(F' ⟶ G) ≃ (F ⟶ L ⋙ G)` for all `G`. -/
@[simps!]
noncomputable def homEquivOfIsLeftKanExtension (G : D ⥤ H) :
(F' ⟶ G) ≃ (F ⟶ L ⋙ G) where
toFun β := α ≫ whiskerLeft _ β
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